Inequality Revision 2
Inequalitys with one variable
Log
\[\frac{x}{1+x} \leq \ln(1+x) \leq x \]
\[\frac{1}{1+x} < \ln(1+\frac{1}{x}) < \frac{1}{x} \]
Bernoulli
when n>1
\[ (1+x)^n \geq 1+nx\]
when n<1
\[(1+x)^n \leq 1+nx\]